ben ward, phd lecture 2€¦ · spear & bowen, “decoding the dna of the toyota production...
TRANSCRIPT
![Page 1: Ben Ward, PhD Lecture 2€¦ · Spear & Bowen, “Decoding the DNA of the Toyota Production System”, Harvard Business Review, Sept-Oct 1999. TPS ... Develop your people Leadership](https://reader034.vdocuments.net/reader034/viewer/2022050305/5f6d6ebbd4223359a204c97d/html5/thumbnails/1.jpg)
Ben Ward, PhDLecture 2
ENGR 101
![Page 2: Ben Ward, PhD Lecture 2€¦ · Spear & Bowen, “Decoding the DNA of the Toyota Production System”, Harvard Business Review, Sept-Oct 1999. TPS ... Develop your people Leadership](https://reader034.vdocuments.net/reader034/viewer/2022050305/5f6d6ebbd4223359a204c97d/html5/thumbnails/2.jpg)
Traditional Manufacturing (Mass Production)
High Volume / Low Variety High Direct Labor Organized around continuous or large batch operations High inventory (raw materials, WIP, finished goods (Working
Capital)) Long lead times Focus on individual labor and machine efficiency Quality measured by inspection and rework – not prevention Strong functional organizations – “Silos”
2
![Page 3: Ben Ward, PhD Lecture 2€¦ · Spear & Bowen, “Decoding the DNA of the Toyota Production System”, Harvard Business Review, Sept-Oct 1999. TPS ... Develop your people Leadership](https://reader034.vdocuments.net/reader034/viewer/2022050305/5f6d6ebbd4223359a204c97d/html5/thumbnails/3.jpg)
Relative Market Shares (USA and Canada) GM vs. Toyota
0
10
20
30
40
50
60
1975 1985 1995 2010
% S
hare
Source: Ward’s Automotive Yearbook
GM Share Toyota Share
3
![Page 4: Ben Ward, PhD Lecture 2€¦ · Spear & Bowen, “Decoding the DNA of the Toyota Production System”, Harvard Business Review, Sept-Oct 1999. TPS ... Develop your people Leadership](https://reader034.vdocuments.net/reader034/viewer/2022050305/5f6d6ebbd4223359a204c97d/html5/thumbnails/4.jpg)
Lean ManufacturingToyota Production System (TPS)
Feature Ford Toyota Benefit
One piece flow Only in assembly Processing and assembly
Shorter cycles, reduced finished goods & inventory, reduced work-in-progress (WIP)
Lot Size Large Small WIP reduction, order-based production
Product flow Single product –few models
Mixed flow – many models
Reduced WIP, adjusts to change, load balancing
4
S. Shingo: A Study of the Toyota Production System from an Industrial Engineering Point of View (1981)
![Page 5: Ben Ward, PhD Lecture 2€¦ · Spear & Bowen, “Decoding the DNA of the Toyota Production System”, Harvard Business Review, Sept-Oct 1999. TPS ... Develop your people Leadership](https://reader034.vdocuments.net/reader034/viewer/2022050305/5f6d6ebbd4223359a204c97d/html5/thumbnails/5.jpg)
Essence of TPS Treat the process as a Science rather than Art Continuously conduct experiments on the production process Changes are not made unless specific outcomes are expected
and validated TPS stimulates workers and managers to conduct experiments
leading to a learning organization
Managers ask questions How do you do this work? How do you know it is being done correctly? How do you know the outcome is defect free? How do you respond to a problem
5
Spear & Bowen, “Decoding the DNA of the Toyota Production System”, Harvard Business Review, Sept-Oct 1999
![Page 6: Ben Ward, PhD Lecture 2€¦ · Spear & Bowen, “Decoding the DNA of the Toyota Production System”, Harvard Business Review, Sept-Oct 1999. TPS ... Develop your people Leadership](https://reader034.vdocuments.net/reader034/viewer/2022050305/5f6d6ebbd4223359a204c97d/html5/thumbnails/6.jpg)
TPS
Adopt a Long-Term Philosophy The right Process produces the right Results
Prefer continuous process flow Level scheduling Culture of continuous improvement Standardize tasks Use reliable and tested technology
Develop your people Leadership People and teams Partners
Find and solve the “root cause” See for yourself Decide slowly implement fast Be a learning organization via reflection and continuous improvement
6
![Page 7: Ben Ward, PhD Lecture 2€¦ · Spear & Bowen, “Decoding the DNA of the Toyota Production System”, Harvard Business Review, Sept-Oct 1999. TPS ... Develop your people Leadership](https://reader034.vdocuments.net/reader034/viewer/2022050305/5f6d6ebbd4223359a204c97d/html5/thumbnails/7.jpg)
Lean
Focus on flow improve by systematic elimination of waste Material, people, systems, bureaucracy Systematic part of daily work – not a project or program Eliminate waste permanently removed Waste anything that does not add value
Create systems for immediate recognition and response Focus on Rapid Change
Kaizen process: Compress activity to 2-5 days Immediate implementation
7
![Page 8: Ben Ward, PhD Lecture 2€¦ · Spear & Bowen, “Decoding the DNA of the Toyota Production System”, Harvard Business Review, Sept-Oct 1999. TPS ... Develop your people Leadership](https://reader034.vdocuments.net/reader034/viewer/2022050305/5f6d6ebbd4223359a204c97d/html5/thumbnails/8.jpg)
8
![Page 9: Ben Ward, PhD Lecture 2€¦ · Spear & Bowen, “Decoding the DNA of the Toyota Production System”, Harvard Business Review, Sept-Oct 1999. TPS ... Develop your people Leadership](https://reader034.vdocuments.net/reader034/viewer/2022050305/5f6d6ebbd4223359a204c97d/html5/thumbnails/9.jpg)
9
![Page 10: Ben Ward, PhD Lecture 2€¦ · Spear & Bowen, “Decoding the DNA of the Toyota Production System”, Harvard Business Review, Sept-Oct 1999. TPS ... Develop your people Leadership](https://reader034.vdocuments.net/reader034/viewer/2022050305/5f6d6ebbd4223359a204c97d/html5/thumbnails/10.jpg)
Design / Process Economics
10
Recognition of problem to be solved
Preferred AlternativeSpecification
Definition of Problem
Analysis
ID Possible Solutions
Gather Information
Completely Specified Solution
You (the engineer) are responsible for understanding and presenting economic and cost data, and alternatives for your project
![Page 11: Ben Ward, PhD Lecture 2€¦ · Spear & Bowen, “Decoding the DNA of the Toyota Production System”, Harvard Business Review, Sept-Oct 1999. TPS ... Develop your people Leadership](https://reader034.vdocuments.net/reader034/viewer/2022050305/5f6d6ebbd4223359a204c97d/html5/thumbnails/11.jpg)
Terminology
Fixed Costs Not affected by changes in activity or production rate Insurance, taxes, SAR (sales/administration/research), interest,
depreciation
Variable (or Direct) Cost Varies with output or activity level Production Operators, Raw Materials
Indirect Cost Varies somewhat with output Maintenance, tools, electricity, QC laboratories
11
W. Sullivan, E. Wicks, P. Koelling, Engineering Economy (26th ed), Pearson (New York)
![Page 12: Ben Ward, PhD Lecture 2€¦ · Spear & Bowen, “Decoding the DNA of the Toyota Production System”, Harvard Business Review, Sept-Oct 1999. TPS ... Develop your people Leadership](https://reader034.vdocuments.net/reader034/viewer/2022050305/5f6d6ebbd4223359a204c97d/html5/thumbnails/12.jpg)
Fixed and Variable Cost Problem
Choice of site for Asphalt Plant, Site Spider or Site Ram
Job requires 50,000 Cubic Yards asphalt Job requires 17 weeks (@ 5 days/week) Return haul cost negligible
12
Cost Factor Site Spider Site Ram
Average hauling distance 4 miles 3 miles
Monthly site rental $2,000 $7,000
Cost of setup and removal $15,000 $50,000
Hauling Expense $2.75/yd3-mile $2.75/yd3-mile
Flag Person Not Required $150/day
W. Sullivan, E. Wicks, P. Koelling, Engineering Economy (26th ed), Pearson (New York)
![Page 13: Ben Ward, PhD Lecture 2€¦ · Spear & Bowen, “Decoding the DNA of the Toyota Production System”, Harvard Business Review, Sept-Oct 1999. TPS ... Develop your people Leadership](https://reader034.vdocuments.net/reader034/viewer/2022050305/5f6d6ebbd4223359a204c97d/html5/thumbnails/13.jpg)
Fixed and Variable Cost Problem
Compare the 2 sites in terms of fixed, variable and total costs Which is the better site? For the selected site: If the contractor is paid $12/yd3
delivered to the job location, how many cubic yards of asphalt must be delivered for the contractor to make a profit?
13
W. Sullivan, E. Wicks, P. Koelling, Engineering Economy (26th ed), Pearson (New York)
![Page 14: Ben Ward, PhD Lecture 2€¦ · Spear & Bowen, “Decoding the DNA of the Toyota Production System”, Harvard Business Review, Sept-Oct 1999. TPS ... Develop your people Leadership](https://reader034.vdocuments.net/reader034/viewer/2022050305/5f6d6ebbd4223359a204c97d/html5/thumbnails/14.jpg)
Fixed / Variable Cost Answer
Cost Fixed Variable Spider Ram
Rent F $8,000 $28,000
Setup/Removal F $15,000 $50,000
Flagperson F $0 5(17)($150)=$2,750
Hauling V 4(50,000)($2.75)=$550,000 3(50,000)$2.75=$412,500
Total $573,000 $503,250
14
• Site Ram has higher fixed cost but lower total cost• Profit begins where total revenue = total cost as function of asphalt delivered• 3($2.75) = $8.25 in variable cost per cubic yard delivered• Total cost = total revenue (@the break even point)• $90,750 + $8.25x = 12.00x• x = 24,200 yd3 delivered (break even point)
W. Sullivan, E. Wicks, P. Koelling, Engineering Economy (26th ed), Pearson (New York)
![Page 15: Ben Ward, PhD Lecture 2€¦ · Spear & Bowen, “Decoding the DNA of the Toyota Production System”, Harvard Business Review, Sept-Oct 1999. TPS ... Develop your people Leadership](https://reader034.vdocuments.net/reader034/viewer/2022050305/5f6d6ebbd4223359a204c97d/html5/thumbnails/15.jpg)
Time Value of MoneyNet Present Value
NPV Spreadsheet
15
![Page 16: Ben Ward, PhD Lecture 2€¦ · Spear & Bowen, “Decoding the DNA of the Toyota Production System”, Harvard Business Review, Sept-Oct 1999. TPS ... Develop your people Leadership](https://reader034.vdocuments.net/reader034/viewer/2022050305/5f6d6ebbd4223359a204c97d/html5/thumbnails/16.jpg)
William J. Stevenson
Production planning and control
Quality Control
9th edition
Courtesy Jian Xiang – DuPont Nomex Spruance Site
![Page 17: Ben Ward, PhD Lecture 2€¦ · Spear & Bowen, “Decoding the DNA of the Toyota Production System”, Harvard Business Review, Sept-Oct 1999. TPS ... Develop your people Leadership](https://reader034.vdocuments.net/reader034/viewer/2022050305/5f6d6ebbd4223359a204c97d/html5/thumbnails/17.jpg)
Quality Control Quality control is a process that measures output relative to
standard, and takes action when output doesn't meet standard. The purpose: assure that processes are performing in an
acceptable manner. Companies accomplish quality control by monitoring process
output using statistical techniques.
![Page 18: Ben Ward, PhD Lecture 2€¦ · Spear & Bowen, “Decoding the DNA of the Toyota Production System”, Harvard Business Review, Sept-Oct 1999. TPS ... Develop your people Leadership](https://reader034.vdocuments.net/reader034/viewer/2022050305/5f6d6ebbd4223359a204c97d/html5/thumbnails/18.jpg)
Phases of Quality Assurance
Acceptancesampling
Processcontrol
Continuousimprovement
Inspection Before / after production
Inspection and corrective action during production
Quality built into the process
The leastprogressive
The mostprogressive
![Page 19: Ben Ward, PhD Lecture 2€¦ · Spear & Bowen, “Decoding the DNA of the Toyota Production System”, Harvard Business Review, Sept-Oct 1999. TPS ... Develop your people Leadership](https://reader034.vdocuments.net/reader034/viewer/2022050305/5f6d6ebbd4223359a204c97d/html5/thumbnails/19.jpg)
Inspection
Inspection compares goods or services to a standard Inspection before and after production involves acceptance
sampling Monitoring during production referred to as process control
Inputs Transformation Outputs
Acceptancesampling
Processcontrol
Acceptancesampling
Figure 10.2
![Page 20: Ben Ward, PhD Lecture 2€¦ · Spear & Bowen, “Decoding the DNA of the Toyota Production System”, Harvard Business Review, Sept-Oct 1999. TPS ... Develop your people Leadership](https://reader034.vdocuments.net/reader034/viewer/2022050305/5f6d6ebbd4223359a204c97d/html5/thumbnails/20.jpg)
InspectionBasic Issues
How much to inspect and how often? Where in the process should inspection occur? Centralized or on-site location?
![Page 21: Ben Ward, PhD Lecture 2€¦ · Spear & Bowen, “Decoding the DNA of the Toyota Production System”, Harvard Business Review, Sept-Oct 1999. TPS ... Develop your people Leadership](https://reader034.vdocuments.net/reader034/viewer/2022050305/5f6d6ebbd4223359a204c97d/html5/thumbnails/21.jpg)
How much to inspect and how often
Ranges from none to inspection of each item many times. Low-cost, high volume items (paper clips) require minimal
inspection Cost associated with passing defective items is low or Production process is highly reliable, so defects are rare
High-cost, low volume items (airplanes, space vehicles) require extensive inspection High cost associated with passing defective items Reliability of production process low or not established
Majority of quality control applications falls somewhere in the middle
![Page 22: Ben Ward, PhD Lecture 2€¦ · Spear & Bowen, “Decoding the DNA of the Toyota Production System”, Harvard Business Review, Sept-Oct 1999. TPS ... Develop your people Leadership](https://reader034.vdocuments.net/reader034/viewer/2022050305/5f6d6ebbd4223359a204c97d/html5/thumbnails/22.jpg)
Cos
t
Optimal Inspection Frequency
Inspection Costs
Cost of inspection
Cost of passingdefectives
Total Cost
![Page 23: Ben Ward, PhD Lecture 2€¦ · Spear & Bowen, “Decoding the DNA of the Toyota Production System”, Harvard Business Review, Sept-Oct 1999. TPS ... Develop your people Leadership](https://reader034.vdocuments.net/reader034/viewer/2022050305/5f6d6ebbd4223359a204c97d/html5/thumbnails/23.jpg)
Where to Inspect in the Process
Inspection always adds to the cost of the product Restrict inspection efforts to the points where they can do the
most good Typical inspection points are:
Raw materials and purchased parts Finished goods Before a costly operation Before an irreversible process
![Page 24: Ben Ward, PhD Lecture 2€¦ · Spear & Bowen, “Decoding the DNA of the Toyota Production System”, Harvard Business Review, Sept-Oct 1999. TPS ... Develop your people Leadership](https://reader034.vdocuments.net/reader034/viewer/2022050305/5f6d6ebbd4223359a204c97d/html5/thumbnails/24.jpg)
Examples of Inspection PointsType ofbusiness
Inspectionpoints
Characteristics
Fast Food CashierCounter areaEating areaBuildingKitchen
AccuracyAppearance, productivityCleanlinessAppearanceHealth regulations
Hotel/motel Parking lotAccountingBuildingMain desk
Safe, well lightedAccuracy, timelinessAppearance, safetyWaiting times
Supermarket CashiersDeliveries
Accuracy, courtesyQuality, quantity
![Page 25: Ben Ward, PhD Lecture 2€¦ · Spear & Bowen, “Decoding the DNA of the Toyota Production System”, Harvard Business Review, Sept-Oct 1999. TPS ... Develop your people Leadership](https://reader034.vdocuments.net/reader034/viewer/2022050305/5f6d6ebbd4223359a204c97d/html5/thumbnails/25.jpg)
Centralized versus on-site inspection Some situations require that inspections be performed on site
such as inspecting the hull of a ship for cracks.
Some situations require specialized tests to be performed in a lab such as medical tests, analyzing food samples, testing metals for hardness, running viscosity tests on lubricants.
![Page 26: Ben Ward, PhD Lecture 2€¦ · Spear & Bowen, “Decoding the DNA of the Toyota Production System”, Harvard Business Review, Sept-Oct 1999. TPS ... Develop your people Leadership](https://reader034.vdocuments.net/reader034/viewer/2022050305/5f6d6ebbd4223359a204c97d/html5/thumbnails/26.jpg)
Statistical Process ControlSPC
Quality control is concerned with the conformance of a process: Does the output of a process conform to the intent of design (specifications)?
Statistical Process Control: Statistical evaluation of the output of a process during production
Conformance: A product or service conforms to specifications Variations and Control
Random variation: Natural variations in process dependent process variables
Assignable variation: A special variation whose source can be identified (it can be assigned to a specific cause)
![Page 27: Ben Ward, PhD Lecture 2€¦ · Spear & Bowen, “Decoding the DNA of the Toyota Production System”, Harvard Business Review, Sept-Oct 1999. TPS ... Develop your people Leadership](https://reader034.vdocuments.net/reader034/viewer/2022050305/5f6d6ebbd4223359a204c97d/html5/thumbnails/27.jpg)
Control Chart
Control Chart: an important tool in SPC Purpose: to monitor process output to see if it is random (in control)
or not (out of control). A time ordered plot of representative sample statistics obtained
from an on going process (e.g. sample means). Upper and lower control limits define the range of acceptable
variation.
![Page 28: Ben Ward, PhD Lecture 2€¦ · Spear & Bowen, “Decoding the DNA of the Toyota Production System”, Harvard Business Review, Sept-Oct 1999. TPS ... Develop your people Leadership](https://reader034.vdocuments.net/reader034/viewer/2022050305/5f6d6ebbd4223359a204c97d/html5/thumbnails/28.jpg)
Basic Control Chart
28
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
UCL
LCL
Sample number
Mean
Out ofcontrol
Upper Action Limit
Lower Action Limit
![Page 29: Ben Ward, PhD Lecture 2€¦ · Spear & Bowen, “Decoding the DNA of the Toyota Production System”, Harvard Business Review, Sept-Oct 1999. TPS ... Develop your people Leadership](https://reader034.vdocuments.net/reader034/viewer/2022050305/5f6d6ebbd4223359a204c97d/html5/thumbnails/29.jpg)
Control Chart
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
UCL
LCL
Sample number
Mean
Out ofcontrol
Normal variationdue to chance
Abnormal variationdue to assignable sources
Abnormal variationdue to assignable sources
![Page 30: Ben Ward, PhD Lecture 2€¦ · Spear & Bowen, “Decoding the DNA of the Toyota Production System”, Harvard Business Review, Sept-Oct 1999. TPS ... Develop your people Leadership](https://reader034.vdocuments.net/reader034/viewer/2022050305/5f6d6ebbd4223359a204c97d/html5/thumbnails/30.jpg)
Statistical Process Control
The Control Process includes Define what is to be controlled
Independent Variables (inputs)Dependent Variables (outputs)
Measure and Compare with the standard Evaluate if the process in control or out of control Correct only when a process is judged out of control (Nelson Rules) Monitor results to ensure that corrective action is effective
![Page 31: Ben Ward, PhD Lecture 2€¦ · Spear & Bowen, “Decoding the DNA of the Toyota Production System”, Harvard Business Review, Sept-Oct 1999. TPS ... Develop your people Leadership](https://reader034.vdocuments.net/reader034/viewer/2022050305/5f6d6ebbd4223359a204c97d/html5/thumbnails/31.jpg)
Nelson Rules
31
One sample (two shown in this case) is grossly out of control.
Process has likely shifted.
A trend exists. Monitor carefully
This much oscillation is beyond noise – process problem
Caution: there may be a budding problem
Caution: there is a non-random event
Source: GMcGlinn~commonswiki (talk | contribs)
![Page 32: Ben Ward, PhD Lecture 2€¦ · Spear & Bowen, “Decoding the DNA of the Toyota Production System”, Harvard Business Review, Sept-Oct 1999. TPS ... Develop your people Leadership](https://reader034.vdocuments.net/reader034/viewer/2022050305/5f6d6ebbd4223359a204c97d/html5/thumbnails/32.jpg)
Process Capability
Tolerances or specifications Range of acceptable values established by engineering design or
customer requirements
Process variability Natural variability in a process
Process capability Process variability relative to specification
![Page 33: Ben Ward, PhD Lecture 2€¦ · Spear & Bowen, “Decoding the DNA of the Toyota Production System”, Harvard Business Review, Sept-Oct 1999. TPS ... Develop your people Leadership](https://reader034.vdocuments.net/reader034/viewer/2022050305/5f6d6ebbd4223359a204c97d/html5/thumbnails/33.jpg)
Capability analysis
Capability analysis: is variability inherent in a process output within the acceptable range of variability allowed by the design specification?
Yes: process is “capable.” No: correct the situation. Cannot automatically assume that a process in control
provides the desired output. A process should be both in control and within specifications
before production begins.
![Page 34: Ben Ward, PhD Lecture 2€¦ · Spear & Bowen, “Decoding the DNA of the Toyota Production System”, Harvard Business Review, Sept-Oct 1999. TPS ... Develop your people Leadership](https://reader034.vdocuments.net/reader034/viewer/2022050305/5f6d6ebbd4223359a204c97d/html5/thumbnails/34.jpg)
Process Capability
LowerSpecification
UpperSpecification
A. Good: Process variability matches specifications
LowerSpecification
UpperSpecification
B. Excellent: Process variability well within specifications Lower
SpecificationUpperSpecification
C. Poor: process variability exceeds specifications
![Page 35: Ben Ward, PhD Lecture 2€¦ · Spear & Bowen, “Decoding the DNA of the Toyota Production System”, Harvard Business Review, Sept-Oct 1999. TPS ... Develop your people Leadership](https://reader034.vdocuments.net/reader034/viewer/2022050305/5f6d6ebbd4223359a204c97d/html5/thumbnails/35.jpg)
Capability Analysis
If the product doesn’t meet specifications (not capable) consider: Process redesign Find an alternative process Retain the current process but attempt to eliminate
unacceptable output using 100% inspection. Examine the specifications Are they necessary? Can thy be relaxed without adversely affecting customer
satisfaction?
![Page 36: Ben Ward, PhD Lecture 2€¦ · Spear & Bowen, “Decoding the DNA of the Toyota Production System”, Harvard Business Review, Sept-Oct 1999. TPS ... Develop your people Leadership](https://reader034.vdocuments.net/reader034/viewer/2022050305/5f6d6ebbd4223359a204c97d/html5/thumbnails/36.jpg)
Process Capability Ratio
Process capability ratio, Cp = specification widthprocess width
Upper specification – lower specification6σ
Cp =
Calculate the capability and compare it to specification width. If the capability is less than the specification width, the process is capable.
Where: Capability = 6σ; where σ is the process SD
Or calculate
The process is capable if Cp is at least 1.33, this ratio implies only about 30 parts per million can be expected to not be within the specification
![Page 37: Ben Ward, PhD Lecture 2€¦ · Spear & Bowen, “Decoding the DNA of the Toyota Production System”, Harvard Business Review, Sept-Oct 1999. TPS ... Develop your people Leadership](https://reader034.vdocuments.net/reader034/viewer/2022050305/5f6d6ebbd4223359a204c97d/html5/thumbnails/37.jpg)
Capability analysisExample: You have the option of using any one of three machines for a job. The machines and their standard deviations are listed below. Determine which machines are capable if the specifications are 10 mm (min) and 10.8 mm (max).
Machine Standard deviation (mm)
A 0.13B 0.08C 0.16
![Page 38: Ben Ward, PhD Lecture 2€¦ · Spear & Bowen, “Decoding the DNA of the Toyota Production System”, Harvard Business Review, Sept-Oct 1999. TPS ... Develop your people Leadership](https://reader034.vdocuments.net/reader034/viewer/2022050305/5f6d6ebbd4223359a204c97d/html5/thumbnails/38.jpg)
Capability analysis Solution Capability = 6σ
Machine Standard deviation (mm)
Machine capability
Capable
A 0.13 0.78 YesB 0.08 0.48 YesC 0.16 0.96 No
It is clear that machine A and machine B are capable, since the capability is less than the specification width (10.8 – 10 = 0.8)
![Page 39: Ben Ward, PhD Lecture 2€¦ · Spear & Bowen, “Decoding the DNA of the Toyota Production System”, Harvard Business Review, Sept-Oct 1999. TPS ... Develop your people Leadership](https://reader034.vdocuments.net/reader034/viewer/2022050305/5f6d6ebbd4223359a204c97d/html5/thumbnails/39.jpg)
Capability ratio Example: Compute the process capability ratio for each
machine in the previous exampleMachine Standard
deviation (mm)
Machine capability 6σ
Cp Capable
A 0.13 0.78 0.8/0.78= 1.03 No
B 0.08 0.48 0.8/0.48 = 1.67 Yes
C 0.16 0.96 0.8/0.96 = 0.83 No
Only machine B is capable because its ratio exceeds 1.33
![Page 40: Ben Ward, PhD Lecture 2€¦ · Spear & Bowen, “Decoding the DNA of the Toyota Production System”, Harvard Business Review, Sept-Oct 1999. TPS ... Develop your people Leadership](https://reader034.vdocuments.net/reader034/viewer/2022050305/5f6d6ebbd4223359a204c97d/html5/thumbnails/40.jpg)
Processmean
Lowerspecification
Upperspecification
1350 ppm 1350 ppm
1.7 ppm 1.7 ppm
+/- 3 Sigma
+/- 6 Sigma
3 Sigma and 6 Sigma Quality
![Page 41: Ben Ward, PhD Lecture 2€¦ · Spear & Bowen, “Decoding the DNA of the Toyota Production System”, Harvard Business Review, Sept-Oct 1999. TPS ... Develop your people Leadership](https://reader034.vdocuments.net/reader034/viewer/2022050305/5f6d6ebbd4223359a204c97d/html5/thumbnails/41.jpg)
Cpk ratio
If a process is not centered (the mean of the process is not in the center of the specification), a more appropriate measure of process capability is the Cpk ratio, because it does take the process mean into account.
The Cpk is equal the smaller ofUpper specification – process mean
3σAndProcess mean – lower specification
3 σ
![Page 42: Ben Ward, PhD Lecture 2€¦ · Spear & Bowen, “Decoding the DNA of the Toyota Production System”, Harvard Business Review, Sept-Oct 1999. TPS ... Develop your people Leadership](https://reader034.vdocuments.net/reader034/viewer/2022050305/5f6d6ebbd4223359a204c97d/html5/thumbnails/42.jpg)
Cpk RatioExample: A process has a mean of 9.2 grams and a standard deviation 0f 0.3 grams. The lower specification limit is 7.5 grams and upper specification limit is 10.5 grams. Compute Cpk
Solution1. Compute the ratio for the lower specification:
2. Compute the ratio for the upper specification:89.1
9.07.1
)3(.35.72.9
==−
44.19.3.1
)3.0(32.95.10
==− The smaller of the two ratios is 1.44
(greater than 1.33), so this is the Cpk . Therefore, the process is capable
![Page 43: Ben Ward, PhD Lecture 2€¦ · Spear & Bowen, “Decoding the DNA of the Toyota Production System”, Harvard Business Review, Sept-Oct 1999. TPS ... Develop your people Leadership](https://reader034.vdocuments.net/reader034/viewer/2022050305/5f6d6ebbd4223359a204c97d/html5/thumbnails/43.jpg)
Improving Process Capability
Simplify the process Standardize the process Mistake-proof Upgrade equipment Automate
![Page 44: Ben Ward, PhD Lecture 2€¦ · Spear & Bowen, “Decoding the DNA of the Toyota Production System”, Harvard Business Review, Sept-Oct 1999. TPS ... Develop your people Leadership](https://reader034.vdocuments.net/reader034/viewer/2022050305/5f6d6ebbd4223359a204c97d/html5/thumbnails/44.jpg)
Improving Process CapabilityMethod Examples
Simplify Eliminate steps, reduce number of parts
Standardize use standard parts, standard procedure
Make mistake-proof
Design parts that can only be assembled the correct way; have simple checks to verify a procedure has been performed correctly
Upgrade equipment
Replace worn-out equipment; take advantage of technological improvements
Automate Substitute processing for manual processing